Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Advertisements
Solution
2 log x + 3 log y = log a
⇒ log x2 + log y3 = log a
⇒ log (x2 . y2) = log a
⇒ x2y3 = a.
APPEARS IN
RELATED QUESTIONS
If x = 1 + log 2 - log 5, y = 2 log3 and z = log a - log 5; find the value of a if x + y = 2z.
If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5x + y - z
Show that : loga m ÷ logab m + 1 + log ab
Given log10x = 2a and log10y = `b/2`. Write 102b + 1 in terms of y.
Solve the following:
log 8 (x2 - 1) - log 8 (3x + 9) = 0
If log 3 m = x and log 3 n = y, write down
32x-3 in terms of m
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
Express the following in a form free from logarithm:
5 log m - 1 = 3 log n
If a = log 20 b = log 25 and 2 log (p - 4) = 2a - b, find the value of 'p'.
